Chirped optical solitons of the perturbed resonant nonlinear Schrödinger equation with dual-power law nonlinearity

In this paper, the perturbed resonant nonlinear Schrödinger equation with dual-power law nonlinearity describing the pulse phenomena in nonlinear optics is investigated. By utilizing the complete discrimination system for polynomial method and the trial equation method, a variety of exact solutions of this equation have been acquired, including rational solutions, triangular function periodic solutions, solitary wave solutions, elliptic function double periodic solutions, as well as the corresponding nonlinear chirps. Besides, several representative two-dimensional graphs are plotted at specific parameters, which can supply a more comprehensive physical interpretation of the complex nonlinear model based on the intuitive identification of the morphology of optical waves.